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553078480 = 24597263271
BaseRepresentation
bin100000111101110…
…100111011010000
31102112201022001011
4200331310323100
52113042002410
6130514220304
716464042463
oct4075647320
91375638034
10553078480
11264220059
12135284694
138a77a796
14536512da
153385018a
hex20f74ed0

553078480 has 80 divisors (see below), whose sum is σ = 1308916224. Its totient is φ = 217313280.

The previous prime is 553078451. The next prime is 553078483. The reversal of 553078480 is 84870355.

553078480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5530784802 = 611791610078220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553078483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2040745 + ... + 2041015.

Almost surely, 2553078480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553078480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654458112).

553078480 is an abundant number, since it is smaller than the sum of its proper divisors (755837744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

553078480 is a wasteful number, since it uses less digits than its factorization.

553078480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 553078480 is about 23517.6206279462. The cubic root of 553078480 is about 820.8470723105.

The spelling of 553078480 in words is "five hundred fifty-three million, seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 263 271 388 485 526 542 776 970 1052 1084 1315 1355 1552 1940 2104 2168 2630 2710 3880 4208 4336 5260 5420 7760 10520 10840 21040 21680 25511 26287 51022 52574 71273 102044 105148 127555 131435 142546 204088 210296 255110 262870 285092 356365 408176 420592 510220 525740 570184 712730 1020440 1051480 1140368 1425460 2040880 2102960 2850920 5701840 6913481 13826962 27653924 34567405 55307848 69134810 110615696 138269620 276539240 553078480